History of the Theory of Numbers, Vol. 2: Diophantine Analysis

Publisher:

Dover Publications

Publication Date:

2005

Number of Pages:

803

Format:

Paperback

Price:

39.95

ISBN:

0486442330

Category:

Monograph

BLL Rating:

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

[Reviewed by

Fernando Q. Gouvêa

, on

03/22/2007

]

See the review on the page for the first volume in this set.

I. Polygonal, Pyramidal, and Figurate Numbers
II. Linear Diophantine Equations and Congruences
III. Partitions
IV. Rational Right Triangles
V. Triangles, Quadrilaterals, and Tetrahedra
VI. Sum of Two Squares
VII. Sum of Three Squares
VIII. Sum of Four Squares
IX. Sum of n Squares
X. Number of Solutions of Quadratic Congruences in n Unknowns
XI. Liouville’s Series of Eighteen Articles
XII. Pell Equation
XIII. Further Single Equations of the Second Degree
XIV. Squares in Arithmetical or Geometrical Progression
XV. Two or More Linear Functions Made Squares
XVI. Two Quadratic Functions of One or Two Unknowns Made Squares
XVII. Systems of Two Equations of Degree Two
XVIII. Three or More Quadratic Functions of One or Two Unknowns Made Squares
XIX. Systems of Three or More Equations of Degree Two in Three or More Unknowns
XX. Quadratic Form Made an nth Power
XI. Equations of Degree Three
XXII. Equations of Degree Four
XXIII. Equations of Degree n
XXIV. Sets of Integers with Equal Sums of Like Powers
XXV. Waring’s Problem and Related Results
XXVI. Fermat’s Last Theorem
Indexes